Everyone speaks of 'faster than light' but is light actually moving?

This links back to my 'conning' distances instead of travelling them comment.

The notion of 'cumulatively' accelerating past the speed of light is compelling. Years ago I remember seeing two children playing on a trolly on a train. One was pushing the other, who was walking to the front of the trolly - all in the same direction as the train. I wondered how fast that child was moving in relation to terra firma. Extrapolate relative to the Sun, and the speeds are faster, yet still notional.

Light doesn't need to accelerate - it's already there.

So, if something maintains a constant, measurable speed, but can be initiated, is it really moving?

An LED sign is a good example. Letters made up of LED 'pixels' appear to scroll across the face of the sign, of course, they aren't really moving.

A more specific example would be waves in the sea - they just bob up and down for the most part.